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Intrinsic geometry of c=1 random surfaces

Abstract

Employing baby universe surgery we study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to matter field with c=1. We simulate surfaces of the size up to 260000 triangles. We observe the first indication that the branching and Haussdorff dimensions saturate. We estimate the branching dimension d{sub B}{approx}2.6 and get a lower bound for the Hausdorff dimension d{sub H}>3.0. ((orig.)).
Authors:
Ambjoern, J; [1]  Bialas, P; [2]  Burda, Z; [3]  Jurkiewicz, J; [1]  Petersson, B [3] 
  1. Niels Bohr Inst., Copenhagen (Denmark)
  2. Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)
  3. Bielefeld Univ. (Germany). Fakultaet fuer Physik
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 990200; PA: AIX-26:064183; EDB-95:133388; SN: 95001458241
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; GEOMETRY; RANDOMNESS; ANOMALOUS DIMENSION; COSMOLOGY; COUPLING; FRACTALS; HAUSDORFF SPACE; LIMITING VALUES; MATTER; SURFACES; UNIVERSE
OSTI ID:
100526
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF425064183
Submitting Site:
NLN
Size:
pp. 701-703
Announcement Date:
Oct 04, 1995

Citation Formats

Ambjoern, J, Bialas, P, Burda, Z, Jurkiewicz, J, and Petersson, B. Intrinsic geometry of c=1 random surfaces. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00355-D.
Ambjoern, J, Bialas, P, Burda, Z, Jurkiewicz, J, & Petersson, B. Intrinsic geometry of c=1 random surfaces. Netherlands. doi:10.1016/0920-5632(95)00355-D.
Ambjoern, J, Bialas, P, Burda, Z, Jurkiewicz, J, and Petersson, B. 1995. "Intrinsic geometry of c=1 random surfaces." Netherlands. doi:10.1016/0920-5632(95)00355-D. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00355-D.
@misc{etde_100526,
title = {Intrinsic geometry of c=1 random surfaces}
author = {Ambjoern, J, Bialas, P, Burda, Z, Jurkiewicz, J, and Petersson, B}
abstractNote = {Employing baby universe surgery we study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to matter field with c=1. We simulate surfaces of the size up to 260000 triangles. We observe the first indication that the branching and Haussdorff dimensions saturate. We estimate the branching dimension d{sub B}{approx}2.6 and get a lower bound for the Hausdorff dimension d{sub H}>3.0. ((orig.)).}
doi = {10.1016/0920-5632(95)00355-D}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}